Question 1070133: After a 24% price reduction, a dining table is sold for $380.What was the dining table price before the reduction
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! Let,
x = price before reduction
where x is simply a placeholder for some unknown positive number
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24% of x = (24/100)*x
24% of x = 0.24*x
To apply the 24% discount, we simply subtract the expression 0.24x from x itself like so
x - 0.24x = 1x - 0.24x
x - 0.24x = (1 - 0.24)x
x - 0.24x = 0.76x
which is the same as taking 76% of the original price
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Set that result (0.76x) equal to 380 which is the final price after the discount is applied.
So we have this equation
0.76x = 380
Solve for x by dividing both sides by 0.76
0.76x = 380
0.76x/0.76 = 380/0.76
x = 500
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Since x = 500, the final answer is $500.
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